Finding the Third Proportional to 95,238.75 and 209,168.25

Step by Step Solution

1. Step 1: Write the proportion equation
   95,238.75 : 209,168.25 = 209,168.25 : x
2. Step 2: Convert to fraction form
   95,238.75/209,168.25 = 209,168.25/x
3. Step 3: Cross multiply
   95,238.75x = 209,168.25 × 209,168.25
4. Step 4: Simplify right side
   95,238.75x = 43,751,356,808.06
5. Step 5: Solve for x
   x = 43,751,356,808.06/95,238.75
6. Step 6: Final answer
   x = 459,386.09